## Question

An experiment has 10 equally likely outcomes. Let *A* and *B* two non – empty events of the experiment. If a consists of 4 outcomes, the number of outcomes that *B* must have so that *A* and *B* are independent, is

### Solution

5 or 10

Let *n _{B}* and

*n*denote the number outcomes favorable to

_{A ∩ B}*B*and

*A*∩

*B*respectively.

As *A* and *B* are independent.

*P*(*A* ∩ *B*) = *P*(*A*) *P*(*B*)

⇒ *n _{B}* = 5 or 10. [âˆµ 1 ≤

*n*≤ 10.]

_{B}#### SIMILAR QUESTIONS

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